K-拟可加模糊值积分的双零渐近可加与穷竭性  

Double-null Asymptotic Additivity and Exhaustivity of K-quasi-additive Fuzzy Valued Integrals

作　　者：于姗姗[1] 李艳红[2] 王贵君[1] 

机构地区：[1]天津师范大学数学科学学院,天津300384 [2]辽东学院师范学院数学系,辽宁丹东118000

出　　处：《模糊系统与数学》2007年第4期114-119,共6页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(70571056);天津市高等学校科技发展基金资助项目(20031410)

摘　　要：针对已经建立的K-拟可加模糊值积分,将这种积分整体看成可测空间上取值于模糊数值的集函数。应用其转换定理和诱导算子的性质,获得了这种模糊积分不仅具有双零渐近可加性,而且也满足穷竭性。这些特性对于描述模糊值可测函数列和模糊积分序列的收敛性具有重要的意义。Aiming at having established K-quasi-additive fuzzy valued integrals, we regard all of this kind of integrals as set functions being taken valued fuzzy number valued on measurable spaces. Applying the integrals transformation theorem and the properities of inductive operators, we obtain this kind of fuzzy integrals not only having double-null asymptotic additivity but also satisfying exhaustivity. These properities have very important significance for discribing the convergence of sequence of fuzzy valued measurable functions and sequence of fuzzy integral.

关 键 词：诱导算子 K-拟可加模糊测度 K-拟可加模糊值积分 双零渐近可加 穷竭性 

分 类 号：O159[理学—数学]